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Finding the Fourth Proportional to 20,058.74, 27,680.13 and 11,562.38

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Solution

The fourth proportional to 20,058.74, 27,680.13 and 11,562.38 is: 15,955.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,058.74 : 27,680.13 = 11,562.38 : x
  2. Step 2: Convert to fraction form
    20,058.74/27,680.13 = 11,562.38/x
  3. Step 3: Cross multiply
    20,058.74x = 27,680.13 × 11,562.38
  4. Step 4: Simplify right side
    20,058.74x = 320,048,146.91
  5. Step 5: Solve for x
    x = 320,048,146.91/20,058.74
  6. Step 6: Final answer
    x = 15,955.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.